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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 4 | Year 2021 | Article Id. IJMTT-V67I4P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I4P505

Titchmarsh Theorem and its Generalization for the Bessel type transform


Balasaheb Bhagaji Waphare, Yashodha Sanjay Sindhe
Abstract

In this paper we obtain a generalization of Titchmarsh's Theorem for the Bessel type transform for functions satisfying the U - Bessel type Lipschitz condition in Lz,a,b(R) by using a generalized translation operator.

Keywords
Bessel type operator, Bessel type transform, generalized translation op- erator, Bessel type function.
References

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[3] M.El.Hamma,and R.Daher, Generalization of Titchmansh's Theorem for the Bessel transform,Romanian Journal of Mathematics and Computer Science, Vol.2, No.2,17-22(2012).
[4] I.A.Kipriyanov, Singular Elliptic value problems,[in Russian],Nauka, Moscow(1997).
[5] B.M.Levitan, Expansion in Fourier series and integrals over Bessel, Uspekhi Mat. Nauk,6.No.2,102- 143(1951).
[6] K.Trimeche,Transmutation operators and mean periodic functions associated with di erential operators, Math.Rep.4,No.1,1-282(1988).
[7] E.C.Titchmarsh, Introduction to the theory of Fourier Integrals, Claredon, Oxford, 1948,Komkniga, Moscow,2005.
[8] A.L.Zayed,Handbook of Function and Generalized function transformations,(CRC,Boca Raton, 1996) 5.

Citation :

Balasaheb Bhagaji Waphare, Yashodha Sanjay Sindhe, "Titchmarsh Theorem and its Generalization for the Bessel type transform," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 4, pp. 26-30, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I4P505

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